Let be thick affine building of type the Laplace operators of ; associated with a pair ; is the Poisson transform of a suitable finitely additive measure on the maximal boundary of ; by using only the combinatorial structure of .
@article{BUMI_2009_9_2_2_483_0, author = {A. M. Mantero and A. Zappa}, title = {Eigenfunctions of the Laplace Operators for a Building of Type $\widetilde{G}\_{2}$}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {2}, year = {2009}, pages = {483-508}, zbl = {1181.43004}, mrnumber = {2537284}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2009_9_2_2_483_0} }
Mantero, A. M.; Zappa, A. Eigenfunctions of the Laplace Operators for a Building of Type $\widetilde{G}_{2}$. Bollettino dell'Unione Matematica Italiana, Tome 2 (2009) pp. 483-508. http://gdmltest.u-ga.fr/item/BUMI_2009_9_2_2_483_0/
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